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Zbl 1029.34003
Shawagfeh, Nabil T.
Analytical approximate solutions for nonlinear fractional differential equations. (English)
[J] Appl. Math. Comput. 131, No.2-3, 517-529 (2002). ISSN 0096-3003

Summary: We consider a class of nonlinear fractional-differential equations bsed on the Caputo fractional derivative and, by extending the application of the Adomian decomposition method, we derive an analytical solution in the form of a series with easily computable terms. For linear equations, the method gives an exact solution, and, for nonlinear equations, it provides an approximate solution with good accuracy. Several examples are discussed.

MSC 2000:: *34A12 Initial value problems for ODE
34A45 Theoretical approximation of solutions of ODE

Keywords: Adomian polynomials; fractional-differential equations; Caputo fractional derivative

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Zentralblatt MATH Berlin [Germany]